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A New Turbulence Model: The k-ϵ-S Model

Jian Ye, Guoren Dou

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Abstract

A new turbulence model, the k-ɜ-S( turbulent kinetic energy-dissipation-Stochastic theory) model, is presented. Instead of the Boussinesq eddy viscosity concept in the k-ɜ -E( turbulent kinetic energy-dissipation-Eddy viscosity) model, the turbulent stochastic theory developed by D. Guoren is used in the K-ɜ -S model. The wall functions which are appropriate to the K-ɜ -S model are deduced. Numerical results of 2-D examples show that the k-ɜ -S model is successful.

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What this paper is about

A new turbulence model, the k-ɜ-S( turbulent kinetic energy-dissipation-Stochastic theory) model, is presented. Instead of the Boussinesq eddy viscosity concept in the k-ɜ -E( turbulent kinetic energy-dissipation-Eddy viscosity) model, the turbulent stochastic theory developed by D. Guoren is used in the K-ɜ -S model. The wall functions which are appropriate to the K-ɜ -S model are deduced. Numerical results of 2-D examples show that the k-ɜ -S model is successful.

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Available abstract

A new turbulence model, the k-ɜ-S( turbulent kinetic energy-dissipation-Stochastic theory) model, is presented. Instead of the Boussinesq eddy viscosity concept in the k-ɜ -E( turbulent kinetic energy-dissipation-Eddy viscosity) model, the turbulent stochastic theory developed by D. Guoren is used in the K-ɜ -S model. The wall functions which are appropriate to the K-ɜ -S model are deduced. Numerical results of 2-D examples show that the k-ɜ -S model is successful.

Key concepts: Turbulence, Turbulence modeling, Turbulence kinetic energy, Dissipation, K-omega turbulence model, K-epsilon turbulence model, Statistical physics, Physics

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